Trying to get a natural white color.

Ever since I started drawing I’ve been thinking about how I could draw white surfaces. The problem being that I don’t have white pencils in my box and I want the surface to look natural white instead of paper white.
I’m not sure whether there is a difference between the two but it does feel that way to me.

While practicing hatching a while back I had an idea how I could get a kind of natural white in a black and white checkered marble floor.
The idea is that the color of the marble isn’t constant all over the surface. In some areas people walk a lot causing a lot of wear and tear. Closer to the wall where less people walk the colors are more clear.

With hatching you can give the black tiles a nice dark color.
To get the kind of walked on feel for the white tiles I tried a little blending. Using a large folded piece of kitchen paper I started with the darkest tiles to get the kitchen paper black. Then I used the kitchen paper to color the white parts in the walked on area.

checkered floor

The drawing didn’t work out the way I pictured it in my mind. Hopefully that’s just due to lack of skill and I will get it better the next time I try something like this.
Their is a up side though. For this study I had to do a lot of hatching and I find that my technique is improving.